The Kochen–Specker theorem states that noncontextual hidden variable theories are incompatible with quantum mechanics.We provide a state-independent proof of the Kochen–Specker theorem using the smallest number of p...The Kochen–Specker theorem states that noncontextual hidden variable theories are incompatible with quantum mechanics.We provide a state-independent proof of the Kochen–Specker theorem using the smallest number of projectors,i.e.,thirty rank-2 projectors,associated with the Mermin pentagram for a three-qubit system.展开更多
Kochen-Specker(KS)theorem denies the possibility for the noncontextual hidden variable theories to reproduce the predictions of quantum mechanics.A set of projection operators(projectors)and bases used to show the imp...Kochen-Specker(KS)theorem denies the possibility for the noncontextual hidden variable theories to reproduce the predictions of quantum mechanics.A set of projection operators(projectors)and bases used to show the impossibility of noncontextual definite values assignment is named as the KS set.Since one KS set with a mixture of 16 rank-1 projectors and 14 rank-2 projectors was proposed in 1995[Kernaghan M and Peres A Phys.Lett.A 198(1995)1]for a three-qubit system,there have been plenty of the same type KS sets and we propose a systematic way to produce them.We also propose a probabilistic state-dependent proof of the KS theorem that mainly focuses on the values assignment for all the rank-2 projectors.展开更多
A two-qubit system in quantum information theory is the simplest bipartite quantum system and its concurrence for pure and mixed states is well known.As a subset of two-qubit systems,Bell-diagonal states can be depict...A two-qubit system in quantum information theory is the simplest bipartite quantum system and its concurrence for pure and mixed states is well known.As a subset of two-qubit systems,Bell-diagonal states can be depicted by a very simple geometrical representation of a tetrahedron with sides of length 2√2.Based on this geometric representation,we propose a simple approach to randomly generate four mixed Bell decomposable states in which the sum of their concurrence is equal to one.展开更多
基金Supported by the Ministry of Higher Education of Malaysia under the Fundamental Research Grant Scheme(FRGS/1/2011/ST/UNIM/03/1).
文摘The Kochen–Specker theorem states that noncontextual hidden variable theories are incompatible with quantum mechanics.We provide a state-independent proof of the Kochen–Specker theorem using the smallest number of projectors,i.e.,thirty rank-2 projectors,associated with the Mermin pentagram for a three-qubit system.
基金Supported by the Ministry of Higher Education of Malaysia under the FRGS grant FRGS/1/2011/ST/UNIM/03/1。
文摘Kochen-Specker(KS)theorem denies the possibility for the noncontextual hidden variable theories to reproduce the predictions of quantum mechanics.A set of projection operators(projectors)and bases used to show the impossibility of noncontextual definite values assignment is named as the KS set.Since one KS set with a mixture of 16 rank-1 projectors and 14 rank-2 projectors was proposed in 1995[Kernaghan M and Peres A Phys.Lett.A 198(1995)1]for a three-qubit system,there have been plenty of the same type KS sets and we propose a systematic way to produce them.We also propose a probabilistic state-dependent proof of the KS theorem that mainly focuses on the values assignment for all the rank-2 projectors.
文摘A two-qubit system in quantum information theory is the simplest bipartite quantum system and its concurrence for pure and mixed states is well known.As a subset of two-qubit systems,Bell-diagonal states can be depicted by a very simple geometrical representation of a tetrahedron with sides of length 2√2.Based on this geometric representation,we propose a simple approach to randomly generate four mixed Bell decomposable states in which the sum of their concurrence is equal to one.
